Question

At a baseball game, Carlton buys 2 hotdogs and 1 box of popcorn for $6.75. Manny buys 1 hotdog and 1 box of popcorn for $4.25. how much does one hotdog cost?

Answer 1

1 Hot dog = $2.50; 1 Nacho = $3.00

Explanation:

Let x be the cost of 1 hotdog

let y be the cost of 1 nacho

6 x + 3 y = 24 (Equation 1)

8 x + 1 y = 23 (Equation 2)

Divide equation 1 by 3

2 x + y = 8 (Equation 3)

Subtract Equation 3 from Equation 2

8 x − 2 x +y − y = 23 − 8

Simplifying

6 x = 15

1 Hot dog = $2.50

Substitute the value calculated above into Equation 1

15 + 3 y = 24

3 y = 9

1 Nacho = $3.00